Solve the Exponential Equation Algebraically $2 \left( 5 ^ { 2 - x } \right) = 12$

question 176

Multiple Choice

Solve the exponential equation algebraically.Approximate the result to three decimal places. $2 \left( 5 ^ { 2 - x } \right) = 12$

• A) \(2 - \frac { \ln 6 } { \ln 5 } \approx 3.887\)
• B) \(2 - \frac { \ln 6 } { \ln 5 } \approx 1.887\)
• C) \(2 - \frac { \ln 6 } { \ln 5 } \approx 0.887\)
• D) \(2 - \frac { \ln 6 } { \ln 5 } \approx 4.887\)
• E) \(2 - \frac { \ln 6 } { \ln 5 } \approx 2.887\)

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Definitions:

Monocular Cues

Visual information that can be perceived with one eye alone and helps in judging depth and distance, including texture gradient, relative size, and motion parallax.

Dichromatic Cues

Visual information that helps in the perception of color, particularly in individuals with dichromacy, which is a form of color blindness featuring two instead of three cone cell types for color vision.

Phi

Represents the Golden Ratio, approximately equal to 1.618, which is considered aesthetically pleasing in art and architecture; also a symbol used in psychology by Wolfgang Köhler for the phi phenomenon, an optical illusion of perceived motion.

Motion Parallax

A depth cue in which objects closer to the observer move faster across the visual field than objects farther away, giving a sense of depth and distance.